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Video Poker Strategy Calculator
簡介
The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):
Perfect Strategy Analysis | ||||||
---|---|---|---|---|---|---|
Hand | Payoff | Combinations | Probability | Hit Frequency | Variance | Return |
Royal Flush | 4,679.4268 | 496,305,888 | 0.000025 | 40,163.20 | 543.82 | 0.116510 |
Straight Flush | 304.4268 | 2,143,572,384 | 0.000108 | 9,299.07 | 9.58 | 0.032737 |
Four of a Kind | 158.5934 | 47,100,526,956 | 0.002363 | 423.21 | 55.08 | 0.374743 |
Full House | 65.2601 | 229,508,185,644 | 0.011514 | 86.85 | 40.54 | 0.751395 |
Flush | 29.1667 | 217,212,826,248 | 0.010897 | 91.77 | 5.89 | 0.317830 |
Straight | 23.3333 | 223,941,963,936 | 0.011235 | 89.01 | 3.41 | 0.262140 |
Three of a Kind | 17.5 | 1,484,312,753,916 | 0.074464 | 13.43 | 9.98 | 1.303124 |
Two Pair | 11.6667 | 2,577,389,508,252 | 0.129301 | 7.73 | 4.27 | 1.508518 |
Jacks or Better | 5.8333 | 4,287,366,472,464 | 0.215086 | 4.65 | 0.00 | 1.254663 |
Nothing | 0 | 10,863,758,401,512 | 0.545007 | 1.83 | 19.11 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 691.68 | 5.921661 |
The following table shows the results when following basic strategy only (not its exceptions):
Basic Strategy Analysis | ||||||
---|---|---|---|---|---|---|
Hand | Payoff | Combinations | Probability | Hit Frequency | Variance | Return |
Royal Flush | 4,679.4268 | 492,132,996 | 0.000025 | 40,503.75 | 539.25 | 0.115531 |
Straight Flush | 304.4268 | 2,143,226,664 | 0.000108 | 9,300.57 | 9.58 | 0.032732 |
Four of a Kind | 158.5934 | 47,106,791,196 | 0.002363 | 423.15 | 55.08 | 0.374793 |
Full House | 65.2601 | 229,524,253,884 | 0.011515 | 86.85 | 40.54 | 0.751447 |
Flush | 29.1667 | 216,753,757,560 | 0.010874 | 91.96 | 5.88 | 0.317158 |
Straight | 23.3333 | 223,590,983,316 | 0.011217 | 89.15 | 3.40 | 0.261730 |
Three of a Kind | 17.5 | 1,484,506,013,460 | 0.074474 | 13.43 | 9.98 | 1.303294 |
Two Pair | 11.6667 | 2,577,555,847,044 | 0.129309 | 7.73 | 4.27 | 1.508615 |
Jacks or Better | 5.8333 | 4,292,900,747,388 | 0.215364 | 4.64 | 0.00 | 1.256283 |
Nothing | 0 | 10,858,656,763,692 | 0.544751 | 1.84 | 19.10 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.20 | 687.09 | 5.921583 |
The following table shows the basic strategy:
Basic Strategy | |
---|---|
Type of Play | Play Details |
Pat Hand | Full House; Straight Flush; Royal Flush |
4 of a Kind | (more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... |
4 to a Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
Pat Hand | Straight; Flush |
2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA... |
4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
1 Pair | JJ; QQ; KK; AA |
3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
4 to a Straight | TJQK |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ |
3 to a Straight Flush | 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ |
4 to a Straight | JQKA |
3 to a Straight Flush | 9JK; 9QK |
2 to a Royal Flush | JQ; JK; QK |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T |
2 to a Royal Flush | JA; QA; KA |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
3 to a Straight | JQK |
2 to a Straight | JQ |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45; 568; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK |
2 to a Straight | JK |
2 to a Royal Flush | TJ |
3 to a Straight Flush | 234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T |
2 to a Straight | JA; QK |
2 to a Straight | QA; KA |
2 to a Royal Flush | TQ |
Single Card | a Jack; a Queen; a King; an Ace |
3 to a Straight Flush | 236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T |
Garbage | Discard everything |
The following table shows the exceptions to the basic strategy:
Basic Strategy Exceptions | ||
---|---|---|
Right Play | Wrong Play | Pattern(s) |
2 to a Royal Flush: TK | Single Card: a King | |
2 to a Royal Flush: TJ | 2 to a Straight: JK | |
2 to a Royal Flush: TQ | 2 to a Straight: QA | |
2 to a Straight: JA | 2 to a Royal Flush: TJ | |
2 to a Royal Flush: JQ | 3 to a Straight Flush: 8JQ | |
3 to a Straight Flush: 7TJ | 2 to a Straight: JQ | |
2 to a Straight: JK | 3 to a Straight Flush: 78J | |
Single Card: a Jack | 3 to a Straight Flush: 346 | |
Single Card: a Jack | 3 to a Straight Flush: 356 | |
Single Card: a Jack | 3 to a Straight Flush: 457 | |
Single Card: a Jack | 3 to a Straight Flush: 467 | |
Single Card: a Jack | 3 to a Straight Flush: 234 | |
Single Card: an Ace | 3 to a Straight Flush: 234 | |
Single Card: a Jack | 3 to a Straight Flush: 235 | |
Single Card: an Ace | 3 to a Straight Flush: 235 | |
Single Card: a Jack | 3 to a Straight Flush: 245 | |
Single Card: an Ace | 3 to a Straight Flush: 245 | |
Single Card: a Jack | 3 to a Straight Flush: 78T | |
Single Card: a Jack | 3 to a Straight Flush: 79T | |
2 to a Straight: JK | 3 to a Straight Flush: 79J | |
2 to a Straight: JK | 3 to a Straight Flush: 7TJ | |
3 to a Straight Flush: 78J | 2 to a Straight: JQ | 7♣ 8♣ J♣ Q♦ A♥ |
3 to a Straight Flush: 79J | 2 to a Straight: JQ | 7♣ 9♣ J♣ Q♦ A♥ |
3 to a Straight Flush: 234 | 2 to a Straight: JK | 2♣ 3♣ 4♣ J♦ K♥ |
3 to a Straight Flush: 235 | 2 to a Straight: JK | 2♣ 3♣ 5♣ J♦ K♥ |
3 to a Straight Flush: 245 | 2 to a Straight: JK | 2♣ 4♣ 5♣ J♦ K♥ |
3 to a Straight Flush: 346 | 2 to a Straight: JK | 3♣ 4♣ 6♣ J♦ K♥ |
3 to a Straight Flush: 356 | 2 to a Straight: JK | 3♣ 5♣ 6♣ J♦ K♥ |
3 to a Straight Flush: 457 | 2 to a Straight: JK | 4♣ 5♣ 7♣ J♦ K♥ |
3 to a Straight Flush: 467 | 2 to a Straight: JK | 4♣ 6♣ 7♣ J♦ K♥ |
3 to a Straight Flush: 679 | 2 to a Straight: JK | 6♣ 7♣ 9♣ J♦ K♥ |
Single Card: a Jack | 3 to a Straight Flush: 568 | 4♣ 5♦ 6♦ 8♦ J♥ |
Single Card: a Jack | 3 to a Straight Flush: 578 | 4♣ 5♦ 7♦ 8♦ J♥ |
3 to a Straight Flush: 789 | 2 to a Royal Flush: QK | 7♣ 8♣ 9♣ Q♦ K♦ |